Carrots sell for $2.10 per pound, and crackers sell for $2.90 per pound. Glen bought some carrots and some crackers. The total w eight was 2.3 pounds and cost $6.03. How many pounds of carrots and how many pounds of crackers did Glen buy?
Note: Please give a direct answer
2 answers:
Let carrots be represented by A and crackers be represented by B Quantity equation: Total quantity = amount of carrots + amount of crackers 2.3 = A + B A = 2.3 - B Cost equation: Total cost = amount of carrots x cost of carrots + amount of crackers x cost of crackers 6.03 = 2.1A + 2.9B Substituting the value of A: 6.03 = 2.1(2.3 - B) + 2.9B B = 1.5 lb A = 2.3 - 1.5 A = 0.8 lb Glen bought 0.8 pounds of carrots and 1.5 pounds of crackers.
The answer is carrots - 0.8 pounds crackers - 1.5 pounds x - the weight of carrots y - the weight of crackers <span>The total weight was 2.3 pounds: x + y = 2.3 </span> Carrots sell for $2.10 per pound: 2.10x <span>Crackers sell for $2.90 per pound: 2.90y </span><span>The total cost was $6.03: 2.10x + 2.90y = 6.03 </span>x + y = 2.3 2.10x + 2.90y = 6.03 _________ x = 2.3 - y 2.10x + 2.90y = 6.03 _________ 2.10(2.3 - y) + 2.90y = 6.03 4.83 - 2.10y + 2.90y = 6.03 4.83 + 0.80y = 6.03 0.80y = 6.03 - 4.83 0.80y = 1.20 y = 1.20y : 0.80 y = 1.5 pounds x = 2.3 - y = 2.3 - 1.5 x = 0.8 pounds
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